1. OVERVIEW OF JPEG2000 CORE CODING SYSTEM Department of Information and Communications Engineering Universitat Autònoma de Barcelona, Spain Francesc Aulí-Llinàs

2. ORIGINAL IMAGE JPEG2000 CORE CODING SYSTEM

3. ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM JPEG2000 CORE CODING SYSTEM

4. ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION JPEG2000 CORE CODING SYSTEM

5. ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION JPEG2000 CORE CODING SYSTEM

6. ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION JPEG2000 CORE CODING SYSTEM

7. ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION JPEG2000 CORE CODING SYSTEM

8. ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION coding pass bitplane JPEG2000 CORE CODING SYSTEM

9. ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION coding pass bitplane SPPMRPCP Types of coding passes: SPP - Significance Propagation MRP - Magnitude Refinement CP - Cleanup JPEG2000 CORE CODING SYSTEM

10. ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION SPPMRPCP Types of coding passes: SPP - Significance Propagation MRP - Magnitude Refinement CP - Cleanup JPEG2000 CORE CODING SYSTEM

11. ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION TIER-1 CODING JPEG2000 CORE CODING SYSTEM

12. ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION TIER-1 CODING JPEG2000 CORE CODING SYSTEM

13. ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION TIER-1 CODING JPEG2000 CORE CODING SYSTEM

14. ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION TIER-1 CODING 1. TARGET BITRATE  Quality maximization 2. TARGET QUALITY  Bitrate minimization TIER-2 CODING JP2 CODESTREAM RD OPTIMIZATION JPEG2000 CORE CODING SYSTEM

15. ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION TIER-1 CODING TIER-2 CODING JP2 CODESTREAM RD OPTIMIZATION R 1,D 1 R 3,D 3 R 4,D 4 R 5,D 5 R 2,D 2 R D “convex hull” 1 2 3 4 5 JPEG2000 CORE CODING SYSTEM 1. TARGET BITRATE  Quality maximization 2. TARGET QUALITY  Bitrate minimization

16. R 1,D 1 R 3,D 3 R 4,D 4 R 5,D 5 R 2,D 2 R D Lagrange multiplier optimization: 1.Determine the ”convex hull” for all codeblocks 2.Compute the slope of all codestream segments on the convex hull 3.Select segments with highest slope until reaching the target bitrate or quality JPEG2000 CORE CODING SYSTEM ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION TIER-1 CODING TIER-2 CODING JP2 CODESTREAM RD OPTIMIZATION

17. 25% 60% 15% CODING TIME JPEG2000 CORE CODING SYSTEM ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION TIER-1 CODING TIER-2 CODING JP2 CODESTREAM

18. màxima qualitat màxima qualitat màxima qualitat JPEG2000 CORE CODING SYSTEM ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION TIER-1 CODING TIER-2 CODING JP2 CODESTREAM

19. resolució 1 resolució 2 resolució 3 JPEG2000 CORE CODING SYSTEM ORIGINAL IMAGE MULTI-COMPONENT TRANSFORM WAVELET TRANSFORM QUANTIZATION TIER-1 CODING TIER-2 CODING JP2 CODESTREAM

20. JPEG2000 JPEG2000 CORE CODING SYSTEM

25. Scanned coefficient 9 different contexts to code significance status (depending on the neighbors)‏ 5 different contexts to code the sign (depending on the neighbors)‏  Significance propagation pass  Magnitude refinement pass  Cleanup pass non significant coefficient significant coefficient coefficients to scan

26. JPEG2000 CORE CODING SYSTEM  Significance propagation pass  Magnitude refinement pass  Cleanup pass non significant coefficient significant coefficient (previous bit planes)‏ refinement in this bit plane: 0/1 101011101011 3 different contexts to code refinement

27. JPEG2000 CORE CODING SYSTEM  Significance propagation pass  Magnitude refinement pass  Cleanup pass non visited coefficients visited coefficients same coding contexts as the significance propagation pass + run mode (2 special contexts)